Stochastic Mean-field Models
Particle Based gpc Methods for Mean-Field Models of Swarming with Uncertainty
... to stochastic mean-field models, the right branch describe the MC-gPC ...of stochastic mean-field ...the mean-field type, then through a deterministic solver ...
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On the Approximation Error of Mean-Field Models
... the stochastic system can be approximated using the mean-field model, ...the stochastic system may be ap- Permission to make digital or hard copies of all or part of this work for personal or ...
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Derivation of mean field equations for stochastic particle systems
... study stochastic particle systems on a complete graph and derive effective mean-field rate equations in the limit of diverging system size, which are also known from cluster ag- gregation ...
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Mean Field Forward-Backward Stochastic Differential Equations
... particular models which were solved are given in Section 3 ...fact stochastic control problems and FBSDEs are derived from an application of a version of the stochastic maximum principle, and the ...
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Stochastic mean-field dynamics and applications to life sciences
... these models analytically treatable, and therefore attractive for a wide scientific ...toy models in Statistical Mechanics, the emergence of applications in which the interaction is typically of very long ...
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Mean field analysis of a spatial stochastic model of a gene regulatory network
... mathematical models of GRNs is that mRNA and protein molecules diffuse sufficiently quickly so that they exist in a state of spatial ...the stochastic means of the model ...two models which we ...
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Mean-field-like approximations for stochastic processes on weighted and dynamic networks
... Pairwise models success- fully interpolate between classic compartmental ODE models and full individual-based network simulations with the added advantage of high transparency and a good degree of ...
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Long time behaviour and mean-field limit of Atlas models
... on Stochastic Portfolio Theory [13] to describe a stock market in which the asset prices evolve according to independent and identically distributed processes, except the smallest one which undergoes an additional ...
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Extended mean field control problems: stochastic maximum principle and transport perspective
... Pontryagin stochastic maximum principle, in necessary and in sufficient form, for extended Mean Field control ...of models for which the interactions are not only through the distribution of ...
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Maximum principle for delayed stochastic mean field control problem with state constraint
... , (3) where ψ is some general nonlinear function. If we let ψ(x) = x, then (3) degenerates to (ii). They obtained Pontryagin’s maximum principle for the optimal control problem. Hu and Øksandal [17] investigated this ...
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Optimal choices: mean field games with controlled jumps and optimality in a stochastic volatility model
... of models that properly represent different financial data, see, ...the mean reversion of the volatility ν can explain the clustering effect: even in periods of high volatility, ν is expected to eventually ...
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Disordered driven coupled cavity arrays : Non equilibrium stochastic mean field theory
... The results presented above for the dissipative driven JCHM clearly demonstrate that the combination of open quantum systems with disorder can lead to behavior that is not seen with only one of these two ingredients in ...
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Mean field and propagation of chaos in multi class heterogeneous loss models
... The problem can be cast as a stochastic knapsack or a bin packing problem, where the blocking behavior is determined by the policy that assigns jobs or VM requests to servers. In particular, we consider a model ...
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Conditional mean field
... in stochastic simulation have allowed practitioners to extend these ideas to general probabilistic inference [7, 11, ...graphical models with arbitrary potentials. Conditional mean field ...
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A many-body field theory approach to stochastic models in population biology
... See Figure S1 for representative output. 4 Comparisons Some comments are in order. The 1-loop equations of motion have turned out to be the same as those from taking the normal- ordered third cumulant to be zero. This is ...
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Stochastic control for mean-field Stochastic Partial Differential Equations with jumps
... for mean-field stochastic partial differen- tial equations (stochastic evolution equations) driven by a Brownian motion and an independent Poisson random measure, in the case of partial ...
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Variational Mean Field for Graphical Models
... Variational Single Gaussian Variational Linear Regression Variational Mixture of Gaussians Variational Logistic Regression Expectation Propagation ( α = -1). ± =[r] ...
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Mean-field stochastic differential equations with irregular coefficients
... Das erste Hauptaugenmerk dieser Thesis liegt auf der Existenz und Eindeu- tigkeit von (schwachen und starken) Lösungen zu ‘mean-field’ stochastischen Dif- ferentialgleichungen mit irregulären Koeffizienten. ...
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MEAN-FIELD STOCHASTIC DIFFERENTIAL EQUATIONS AND ASSOCIATED PDES
... involved. Mean-field SDEs, also known as McKean–Vlasov equations, were discussed the first time by Kac [13, 14] in the frame of his study of the Boltzman equa- tion for the particle density in diluted ...
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Large amplitude motion with a stochastic mean-field approach
... 3 Physics Department, Ankara University, Tandogan 06100, Ankara, Turkey 4 RIKEN Nishina Center, Wako, Saitama 351-0198, Japan Abstract. In the stochastic mean-field approach, an ensemble of initial ...
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